Serge Lang

The book by Serge Lang titled Complex Analysis is now in its fourth edition. The first section of this book introduces the reader to the fundamentals of complex analysis. In contrast, the second section delves into various specialized topics, including the Riemann Mapping Theorem, the Gamma Function, and Analytic Continuation.

The use of power series methods is more systematic than in other texts, and the proofs that employ these methods frequently offer more light on the results than the traditional proofs do.